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Finding the Third Proportional to 18,324 and 38,808

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Solution

The third proportional to 18,324 and 38,808 is: 82,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 38,808 = 38,808 : x
  2. Step 2: Convert to fraction form
    18,324/38,808 = 38,808/x
  3. Step 3: Cross multiply
    18,324x = 38,808 × 38,808
  4. Step 4: Simplify right side
    18,324x = 1,506,060,864
  5. Step 5: Solve for x
    x = 1,506,060,864/18,324
  6. Step 6: Final answer
    x = 82,190.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.